A block of mass m¡ = 1.50 kg is placed on a frictionless horizontal tabletop. The left end of this block is fastened to a linear (Hookean) spring with a force constant k = 750.0 N/m, which in turn is anchored to a post at the left edge of the table. The equilibrium position for this spring-mass system is labeled point A on the diagram below. The spring is now extended a distance x = 0.100 m from equilibrium, so that block m¡ is located at position B. The right end of block m¡ is simultaneously connected by a light piece of red string to a second block of mass m2= 2.00 kg. The red string is draped over a frictionless pulley. Block m2 is positioned on a frictionless ramp on the right side of the horizontal table as shown below. The ramp makes an angle of 37.0° with the horizontal. Finally, a third block of mass m3 is connected to the other side of mass m2 with a piece of blue string. The blue string is draped over a second frictionless pulley so that mass m3 hangs vertically over the lower end of the ramp.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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A block of mass m1 = 1.50 kg is placed on a frictionless horizontal tabletop. The left end of this block is fastened to a linear (Hookean)
spring with a force constant k=750.0 N/m, which in turn is anchored to a post at the left edge of the table. The equilibrium position
for this spring-mass system is labeled point A on the diagram below.
The spring is now extended a distance x = 0.100 m from equilibrium, so that block m, is located at position B. The right end of block
m, is simultaneously connected by a light piece of red string to a second block of mass m2 = 2.00 kg. The red string is draped over a
frictionless pulley. Block m2 is positioned on a frictionless ramp on the right side of the horizontal table as shown below. The ramp
makes an angle of 37.0° with the horizontal.
Finally, a third block of mass m3 is connected to the other side of mass m2 with a piece of blue string. The blue string is draped over a
second frictionless pulley so that mass m3 hangs vertically over the lower end of the
ramp.
The system consisting of the spring and three blocks remains stationary in the configuration shown in the diagram below, such that
block m, remains at position B. The tensions in the red and blue strings are Fri and Fr2 respectively.
Post
mi= 1.50 kg
Fri= ?
k= 750.0 N/m
тэ— 2.00 kg
Fr2= ?
0= 37.0°
x= 0.100 m
m3= ?
V...
Transcribed Image Text:A block of mass m1 = 1.50 kg is placed on a frictionless horizontal tabletop. The left end of this block is fastened to a linear (Hookean) spring with a force constant k=750.0 N/m, which in turn is anchored to a post at the left edge of the table. The equilibrium position for this spring-mass system is labeled point A on the diagram below. The spring is now extended a distance x = 0.100 m from equilibrium, so that block m, is located at position B. The right end of block m, is simultaneously connected by a light piece of red string to a second block of mass m2 = 2.00 kg. The red string is draped over a frictionless pulley. Block m2 is positioned on a frictionless ramp on the right side of the horizontal table as shown below. The ramp makes an angle of 37.0° with the horizontal. Finally, a third block of mass m3 is connected to the other side of mass m2 with a piece of blue string. The blue string is draped over a second frictionless pulley so that mass m3 hangs vertically over the lower end of the ramp. The system consisting of the spring and three blocks remains stationary in the configuration shown in the diagram below, such that block m, remains at position B. The tensions in the red and blue strings are Fri and Fr2 respectively. Post mi= 1.50 kg Fri= ? k= 750.0 N/m тэ— 2.00 kg Fr2= ? 0= 37.0° x= 0.100 m m3= ? V...
(b) Calculate the following quantities:
(i) The tension Fri in the red string
(ii) The tension Fr2 in the blue string
(iii) The mass m3 of the hanging block
Transcribed Image Text:(b) Calculate the following quantities: (i) The tension Fri in the red string (ii) The tension Fr2 in the blue string (iii) The mass m3 of the hanging block
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